30 mL of CO was exploded with V mL of oxygen and 35 mL of gases remained. What is the value of V ?
(A) 5 (B) 50 (C) 20 (D) 30
Answers
Explanation:
Given reaction:
2CO + O2 --->2CO2
2moles of CO + 1mole of O2 ----> 2moles of CO2
Moles of CO/Moles of O2 =2/1=2 -----------(1)
20 ml of CO reacts with 10 ml of O2 to produce 20 ml of CO2
But 20 ml of O2 remains unreacted.It is limiting realVolume of Final mixture=20ml of CO2+20ml of O2
=40ml
The final volume of the gases is 40ml
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The correct answer is option (B) 50 ml
GIVEN
Volume of CO = 30ml
Volume of Oxygen gas = V ml
Volume of gas remained= 35 ml
TO FIND
The value of V
SOLUTION
We can simply solve the above equation as follows -
The reaction of carbon monoxide and oxygen can be depicted as follows -
2CO + O₂ ---------> 2CO₂
So,
At constant temperature and pressure, volume × number of moles
Therefore,
2 ml of CO requires 1 ml of O₂
Here, CO is the limiting reagent
So, 30ml of CO = (1/2)×30 = 15 ml of O₂
It is given,
Volume of gas remained = 35 ml
So,
the initial volume of Oxygen gas =
V -15 = 35
V = 50 ml
Hence, The initial volume of oxygen is 50 ml
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